Final answer:
To find the mass of a 2m rod with a given linear density function, we can use the integral of the linear density function. The linear density function in this case is rho(x) = 4(2x+1)^2 for 0 ≤ x ≤ 2.
Step-by-step explanation:
To find the mass of the 2m rod with a linear density of rho(x) = 4(2x+1)^2 for 0 ≤ x ≤ 2, we can use the formula for finding mass from linear density. The formula is: Mass = ∫rho(x)dx, where rho(x) represents the linear density function and the integral is taken over the given limits.
In this case, the linear density function is rho(x) = 4(2x+1)^2. Plugging this in, the integral becomes: ∫4(2x+1)^2dx. We can simplify this expression and evaluate the integral to find the mass of the rod.
Since this question is asking for the mass of a rod based on its linear density, it falls under the subject of Physics and is suitable for College level.